13538763 has 24 divisors (see below), whose sum is σ = 22454016. Its totient is φ = 7700400.

The previous prime is 13538731. The next prime is 13538779. The reversal of 13538763 is 36783531.

13538763 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13538763 - 2⁵ = 13538731 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13538663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19248 + ... + 19938.

It is an arithmetic number, because the mean of its divisors is an integer number (935584).

Almost surely, 2^13538763 is an apocalyptic number.

13538763 is a deficient number, since it is larger than the sum of its proper divisors (8915253).

13538763 is a wasteful number, since it uses less digits than its factorization.

13538763 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015 (or 1012 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 13538763 is about 3679.5058092086. The cubic root of 13538763 is about 238.3378378966.

The spelling of 13538763 in words is "thirteen million, five hundred thirty-eight thousand, seven hundred sixty-three".